throw new Error causes stdout to be undefined

Background

Usually in JavaScript if you log, then throw an Error both will be outputted sequentially:

console.log('Installing...');
throw new Error('Example error');

Outputs:

Installing...
Error: Example error

Problem

However when running the same code inside sudoPrompt.exec console.log messages are not outputted if there is an Error thrown.

Example:

import { fileURLToPath } from 'url';
import * as sudoPrompt from '@vscode/sudo-prompt';
import { execFileSync } from 'child_process';

const __filename = fileURLToPath(import.meta.url);

function isAdmin(){
  if (process.platform === 'win32') {
    try {
      execFileSync('net', ['session'], { stdio: 'ignore' });
      return true;
    } catch {
      return false;
    }
  } else {
    return process.getuid && process.getuid() === 0;
  }
}

function runAsAdmin() {
  const cmd = `node "${__filename}" --admin`;
  sudoPrompt.exec(cmd, { name: 'Standalone Installer' }, (error, stdout, stderr) => {
    console.log('callback', stdout, stderr);
    if (stdout) {
      console.log('[sudo-prompt stdout]', stdout);
    }
    if (stderr) {
      console.log('[sudo-prompt stderr]', stderr);
    }
    if (error) {
      console.error('[sudo-prompt error]', error);
    }
  });
}

function install() {
  console.log('Installing...');
  throw new Error('Example error');
}

function main() {
  if (isAdmin() || process.argv.includes('--admin')) {
    console.log('Running as admin...');
    install();
  } else {
    console.log('Not running as admin...');
    runAsAdmin();
  }
}

main();

Outputs:

Not running as admin...
callback undefined undefined
[sudo-prompt error] Error: Example error

This causes issues debugging and for any command line script/tool which needs to output progress/results and then fail with errors.

Expected result

Not running as admin...
callback Installing... undefined
[sudo-prompt stdout] Installing...
[sudo-prompt error] Error: Example error

Start by tracing the sudoPrompt.exec callback and the shown install/main flow, focusing on how a thrown Error affects captured stdout and stderr. Reproduce the example and verify that the callback receives "Installing..." as stdout before the error, matching the expected output.